Question

Let W be the union of the and quadrants in the​ xy-plane. That​ is, let . Complete parts a and b below. a. If u is in W and c is any​ scalar, is cu in​ W? Why? A. If u is in​ W, then the vector cuc is in W because c0 since . B. If u is in​ W, then the vector cuc is not in W because c0 in some cases. C. If u is in​ W, then the vector cuc is in W because since . Your answer is correct. b. Find specific vectors u and v in W such that uv is not in W. This is enough to show that W is not a vector space. Two vectors in​ W, u and v​, for which uv is not in W are nothing. ​(Use a comma to separate answers as​ needed.)

Answer 1

Answer:

hello your question is incomplete attached below is the complete question

A) xy ≥ 0, (cx )(cy) = c^2(xy) ≥ 0

B) U + V is not in W

Step-by-step explanation:

attached below is the detailed solution

A) since xy ≥ 0, (cx )(cy) = c^2(xy) ≥ 0

B )  U + V is not in W